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An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the ...

An arc subtends an angle of 30o at the centre of a circle radius 12cm. Calculate the length of the arc.
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  • A 6\(\pi\)cm
  • B 2\(\pi\)cm
  • C 3\(\pi\)cm
  • D 9\(\pi\)cm
Correct Answer: Option B
Explanation:
Length or arc = \(\frac{\theta}{360}\) x 2\(\pi\)r
= \(\frac{30}{360}\) x 2 x \(\frac{22}{7}\) x 12
= \(\frac{1}{12}\) x 2 x \(\pi\) x 2 = 2\(\pi\)cm

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